Final answer:
The rate that best represents the relationship between the population and the area is A = 0.0454545 square miles per resident.
Step-by-step explanation:
To find the relationship between the population of a county and the area of the county, we need to divide the area by the population. In this case, the area is 425 square miles and the population is 9,350 residents. So, the rate is 425 / 9,350 = 0.0454545 square miles per resident.
Therefore, the rate that best represents the relationship between the population and the area is A = 0.0454545 square miles per resident.